40=7(1a+4)-3a

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Solution for 40=7(1a+4)-3a equation:


Simplifying
40 = 7(1a + 4) + -3a

Reorder the terms:
40 = 7(4 + 1a) + -3a
40 = (4 * 7 + 1a * 7) + -3a
40 = (28 + 7a) + -3a

Combine like terms: 7a + -3a = 4a
40 = 28 + 4a

Solving
40 = 28 + 4a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-4a' to each side of the equation.
40 + -4a = 28 + 4a + -4a

Combine like terms: 4a + -4a = 0
40 + -4a = 28 + 0
40 + -4a = 28

Add '-40' to each side of the equation.
40 + -40 + -4a = 28 + -40

Combine like terms: 40 + -40 = 0
0 + -4a = 28 + -40
-4a = 28 + -40

Combine like terms: 28 + -40 = -12
-4a = -12

Divide each side by '-4'.
a = 3

Simplifying
a = 3

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